Suppose you invest 40% of your fund in stock A and the other 60% in stock B. If stock A and B are expected to have the following returns next year, then what are the expected returns for Stock A, Stock B and your portfolio? ProbabilityStock A Stock B State of Economy Recession Boom .3 .7 13.9%; 4.8%; 10.26% 10.2%; 4.8%; 10.26% 13.9%; 4.8%; 8.44% 10.2%; 4.4%; 8.44% -12% 2% 25% 6%
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- Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 27% 33 40 Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected rate of return of 15%. Required: a. What is the proportion y? (Round your answer to 1 decimal place.) Proportion y % 4What return do you expect on a portfolio next year that is currently invested 20% in your stock (with an expected return as computed in c.1) and 80% in an equity mutual fund (which is an investment company that invests into stocks for investors) that has a CAPM expected return of 5.82%? Return in c1= 9.34%You are given the following information for Securities J and K for the coming year: State of Nature Probability Return J 20.00% 14.00% 50.00% 19.00% 30.00% 16.00% 1 2 3 Return K 14.00% 16.00% 25.00% You create a portfolio, with 40 percent of your money invested in Security K, and the rest of your money invested in Security J. Given this information, determine the standard deviation of this portfolio for the coming year. O 0.0301 O 0.0239 O 0.0195 O 0.0263 O 0.0154
- What return do you expect on a portfolio next year that is currently invested 15% in your stock (with an expected return as computed in c.1 (8.06%) ) and 85% in an equity mutual fund (which is an investment company that invests into stocks for investors) that has a CAPM expected return of 8.52%?Based on the table below, you invested 40% on Stock A and B and 20% on Stock Calculate the expected return on this portfolio. Year Expected rate of returns Stock A Stock B Stock C 1 0.18 0.13 0.05 2 0.17 0.12 0.10 3 0.02 0.07 0.13 4 0.12 0.09 0.16 5 0.12 0.08 0.28 Please give the full step of the calculation.Problem: 1. Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence. Stock A Stock B 20X1 10 20 20X2 -15 -20 20X3 20 -10 20X4 25 30 20X5 -30 -20 20X6 20 60 a. Which of the two stocks is riskier? Why? b. Which of the stocks is expected to yield a higher return? Why? c. Where will you invest? Problem Solving: 1. Suppose you want to buy 10,000 shares of MegaWorld Corporation at a price of 4.00. You put up P10,000 and borrow the rest. What does your account balance sheet would look like? What is your margin? 2. Supposed that in the previous problem you shorted 10,000 shares instead of buying. The initial margin is 60 percent. What does the account balance sheet look like? 3. You deposited P100,000 cash in brokerage account and short sell P200,000 of stocks on margin.…
- Following are the probability distribution of returns of portfolio of Stock A and Stock B in equal proportion of weight in each state of economy. You are required to calculate Expected Return and Risk for individual Stocks? State of Economy 1 2 3 4 5 Probability 0.2 0.2 0.2 0.2 0.2 Return on Stock A (%) 15 (5) 5 35 25 Return on Stock B (%) (5) 15 25 5 35 If you deposit Rs. 1,000 in the bank at a nominal interest rate of 6 percent, you will have Rs. 1,060 at the end of the year. Suppose that the inflation rate during the year is also 6 percent. Find real amount in Peso?Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence. Stock A Stock B 20X1 10 20 20X2 -15 -20 20X3 20 -10 20X4 25 30 20X5 -30 -20 20X6 20 60 a. Which of the two stocks is riskier? Why? b. Which of the stocks is expected to yield a higher return? Why? c. Where will you invest?The next year's return on stock X is expected to be either -7% with probability 0.2 or 20% with probability 0.8. Find the stnadard deviation of the returns. a.12.37% b.11.10% c.12.88% d.11.69% e.10.80%
- Suppose you have portfolio of four stocks Stock A, B, C and D, Total investment in these stocks is equal to 2019331015 $, Beta of these stocks is 1.5, (0.5), 1.25, and 0.75 and proportion invested is 22%, 20%, 30%, and remaining in D. If the Risk free rate is 6% and market rate of return is 15%. Calculate a) Investment in each stock. b) Market premium c) Required Rate of return for each stock. d) Required rate of return of Portfolio. e) If expected rate of return of stock A is 10%, what do you think if it is overvalued or undervalued.You have estimated the following probability distributions of expected future returns for Stocks X and Y: Stock X Stock Y Probability Return Probability Return 0.1 -12 % 0.2 4 % 0.1 11 0.2 7 0.3 14 0.3 11 0.3 30 0.2 17 0.2 40 0.1 30 What is the expected rate of return for Stock X? Stock Y? Round your answers to one decimal place.Stock X: % Stock Y: % What is the standard deviation of expected returns for Stock X? For Stock Y? Round your answers to two decimal places.Stock X: % Stock Y: % Which stock would you consider to be riskier? is riskier because it has a standard deviation of returns.You invest funds in a stock market index fund whose share price is currently K100, and your time horizon is one year. You expect the cash dividend during the year to be K4. Suppose your best guess is that the share price will be K110. Calculate the following: expected dividend yield; holding period return (HPR); Capital gains yield and total holding period rate of return.